Spearman–Brown Prophecy Formula Explained
In this video, I explore multiple intuitive ways to understand the Spearman–Brown Prophecy Formula (SBPF). The goal is to use visualizations to build intuition for how changes in test length affect reliability, as understanding that will make it obvious how the formula works.
If the notation and jargon are unfamiliar, you can check out this introductory video on reliability and the principle of aggregation: • Conceptual & Visual Intro to Reliability
In the next video, I will explore a few applications of the SBPF, and I'll show you how to set up the formula to automatically calculate in MS Excel and R. You can watch that one here: • Spearman–Brown Formula: Applications in Ex...
ERRATA: At the 4:08 mark, I use an example with rxx = .70, but I mistakenly wrote rxx = .50 on one part of the slide. The verbal explanation and calculations are correct for rxx = .70, though.
If you have questions or comments, let me know at seth.osbornla@gmail.com
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*R and RStudio*
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*MathPapa Algebra Calculator*
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